I don't have any problems comparing them, but yeah, they are different categories of things and each of them can work well under certain kinds of circumstances, and surely a person who has a lump sum available has options regarding how to consider investing, whether that is lump sum all of it or to perhaps lump sum part and maybe even DCA other parts and buy on dips with other parts.
A person who does not have a lump sum available has to just deal with cash as it comes in, and in some cases, there are folks who do not have good habits of saving and/or investing and maybe they don't even really know how to do it, so DCA would likely be better for them because they can just choose an amount to invest over whatever period of time that is based on how much disposable income that they have, and if they were to save it in cash and then invest it later, then that may or may not be practical, but it could end up being a form of lump sum that is buying on dip if they really think that there might be utility in terms of waiting when they get into BTC.. which it is never really clear when those periods of long and deep correction are going to happen and at the same time, even if they happened in a certain pattern in the past, it is not even close to assured that such long and deep corrections are going to happen in similar ways in the future... even though bitcoin's ongoing volatility is likely inevitable, we just can never really be sure of the direction (especially in the short-to-medium term, even if even if we can develop theories and even probabilities).
If you are going to invest in Lump Sum manner then price is very important at which you are investing your whole money. Like as I already said, investing 20k$ when price of Bitcoin is 67k$ will lock your investment for indefinite period of time while investing same amount when price of Bitcoin is 20k$ is better option. You are right in saying that we don't know exactly when its bottom or just the start of dip. So one has to do that risk analysis if he is trying to invest in Lump sum manner.
While in case of DCA there is less risk involved compared to Lump sum. In DCA, all you need is to accumulate Bitcoin slowly and based on historic data DCA for 4 to 5 years has been a profitable strategy.
You have provided concise explanations of the advantages and disadvantages of lump-sum investment vs DCA. While lump-sum investment can be dangerous in unfavorable market situations, it can also result in large profits in favorable circumstances. By spreading out your investments across time with DCA, you lower your chance of losing money in the event of a market collapse. However, if the market takes off, you might pass on the chance to make a significant profit.